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A Computer Optimization of the Rayleigh-Ritz Method
IEEE Transactions on Microwave Theory and Techniques, 1969A method has been developed to improve the use of the RayIeigh-Ritz procedure. A criterion is established, which is a measure of the cumulative improvement due to the addition of more and more terms in the series expansion. Without calculating the exact roots of determinantal equations, the convergence is accelerated by skipping unnecessary ...
A.S. Vander Vorst +2 more
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On Accuracy Of Hierarchical Rayleigh-Ritz Methods
2006We present an analysis of the accuracy of hierarchical(adapted) finite element Rayleigh– Ritz method for elliptic self-adjoint eigenvalue problems. The celebrated Wilkinson’ s Schur complement trick is adapted and applied to yield a new class of Temple-Kato like inequalities which are particularly suited to a situation in which we are ...
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Nullspace technique for imposing constraints in the Rayleigh–Ritz method
Journal of Sound and Vibration, 2022Jie Deng, Oriol Guasch, Nan-Sha Gao
exaly
Rayleigh–Ritz–Galerkin Methods for Multidimensional Problems
SIAM Journal on Numerical Analysis, 1969openaire +2 more sources